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Finding the Third Proportional to 600,232 and 1,268,016

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Solution

The third proportional to 600,232 and 1,268,016 is: 2,678,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,232 : 1,268,016 = 1,268,016 : x
  2. Step 2: Convert to fraction form
    600,232/1,268,016 = 1,268,016/x
  3. Step 3: Cross multiply
    600,232x = 1,268,016 × 1,268,016
  4. Step 4: Simplify right side
    600,232x = 1,607,864,576,256
  5. Step 5: Solve for x
    x = 1,607,864,576,256/600,232
  6. Step 6: Final answer
    x = 2,678,738.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.